{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.linalg as la\n",
    "import utils\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib import colors\n",
    "%matplotlib inline\n",
    "from IPython.display import set_matplotlib_formats\n",
    "set_matplotlib_formats('png', 'pdf')\n",
    "plt.rc('font', size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Van der Pol\n",
    "\n",
    "### Simuate the system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mu=5\n",
    "tau=1\n",
    "x0 = [2.0, 0.0]\n",
    "\n",
    "period_length = 11.45015*tau\n",
    "\n",
    "num_periods_simulate = 15\n",
    "sampling_rate_simulate = 2048\n",
    "t_simulate_full = np.linspace(0, num_periods_simulate*period_length,\n",
    "                         int(num_periods_simulate*sampling_rate_simulate))\n",
    "dt_simulate = t_simulate_full[1]-t_simulate_full[0]\n",
    "\n",
    "vdp_simulation = utils.simulate_vanderpol_oscillator(dt_simulate, t_simulate_full.size, x0=x0, mu=mu, tau=tau)[0]\n",
    "\n",
    "initial_samples = int(5*sampling_rate_simulate)\n",
    "t_simulate = t_simulate_full[:-initial_samples]\n",
    "vdp_solution = vdp_simulation[0:1,initial_samples:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Subsample to get training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "num_periods_subsample = 5\n",
    "sampling_rate_subsample = 128\n",
    "\n",
    "t_max_idx = int(num_periods_subsample*period_length/dt_simulate)+2\n",
    "spacing = sampling_rate_simulate//sampling_rate_subsample\n",
    "\n",
    "t_sample = t_simulate[:t_max_idx:spacing]\n",
    "dt_sample = t_sample[1] - t_sample[0]\n",
    "\n",
    "training_data = vdp_solution[:,:t_max_idx:spacing]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train a HAVOK model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "time_delay=128\n",
    "time_delay_spacing=1\n",
    "rank=24\n",
    "\n",
    "dmd = utils.DMD(truncation='hard', threshold=rank, time_delay=time_delay, time_delay_spacing=time_delay_spacing)\n",
    "dmd.fit(training_data, dt_sample)\n",
    "dmd_reconstruction = dmd.reconstruct(t_simulate, imaginary_evals=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot reconstruction, linear model, and power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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ADK00NMNpVkiKnoFe1qQyneZN9X47IdJeCs0m/RWn+ILrpowQb1z0NSgh0V7Z\nhC1pblG953xan/OxokNpzof6mSm0okIoVlvOh/Tekno1GMlFUI1IOzhOpWDW61EOuLC+dorv0Gx4\nnTYxmFjlEZs1em3HEps4rOJqhQIm1/MKp0BbqIPYBuhcp1WD7wf9rEBDZBRFFATz70ozIWBkNZi8\nK3bQR2WaW2Upfd6W47l06epxS5EnCrQ4WRZEheQr7UqMx3yPeCLr3RwgaEhxXCjWcPbzWkHsjujl\nvuuwIYNoCUS5SMHdSXslE8y4SWHceX4/Ndn7oa8+g0dQ/EUPwPQFUz46uXtnFL/pitwRDo9optDa\nMU1dcq2R9kXhK+iL6kHwy6ZJoXkYzqm0+UrOAsDbRMkhvMwzdiEGPNZy+ujLzch3o0m4PoKJzFTO\naT56u2Xpr3OqAZ5inMxV58wVHlPGJBI3CXqrocOYjxSVPFnwIz7i5MB1CPitFXGCNufoABUdwPXo\n7RQ402z2oeWd50u2JT+39eCdm8JVzGKy6AtptCtiWaRycTYO4tki95FmbXG+z0GMoorn11Np5Qzi\nWaM92jwFvRS3HcVkuR/zpvToKGbh4OMZ1NPF2cPEw0npx9xvr81RzClRxcW6LHxFG96yPIj1Nool\nDmJGH5FTH4Kpja8niGk3c8YzKG6xrx1F0OZK82jaQsM50vLJoDDLtdC2xcufd1EdbE2HPsszLSiN\nExlH8UbovBU8v6sBC8nsiphnZLIuM4X/HTHP1aKG7G/jKWqoAaeCqUi9UUGJ8TUj7AplrBFIogY0\ng7yunW7oHDCzpWlTUADzOVXb4ScfbnfY0k5G3agBNy/zJqVxth/7VIiRRWcFa5GQH1fYWB7LR/Ac\nj50ue55XE4dmfI0cMI4DmmH0pscssjnrMd+SS0evljOJmWqtR8dHpRPxTDLPjZOl2Fv0IqLMU7NM\nwiFA0eZM6lk3YwDZtb7zPNQz8+TWpS7BZgzq4bRwCOtoOq/uFI8oJwtsl3NVda5kHpzsYz8K+Z3K\nNXpEceq8UiL3SbxItWoP9RN2FLq004l4JofxbGfHbkQjFo6XRy+KnDGU8kTCtdpvf/sdOeO4dBbS\nrKCdSpOTqFbHfPSJ6BBSzij+zUmgJk5A/6L8JELMAuZFk32IwJFxnqdmg5wR6YS5odMkjW9lYGQ4\n5h3F8OGwMdPdcRjEwcDy/Fofetp5lzmmVf6EcM5stLJ4d71vy06SmkE7WA/FYPOL3EMER67D06Uz\nRykEP88zxDRsFjeqWnIxBxpFnSVSrXvODtEhB1caZGiSigQHKyx2Qi1P4lPTfCyAITPtisDix3jB\nRlHHx0yE+Z7mUcjXorI8I0tChCkcojEm+GdiQhM5OCSEayTYLitfODjOwilg1CRypKnvpD/e2UT0\n2vfcK60kf9fssiIuD1llpc64X9G4jQ2KeXPLgNlFee7ywmAWQ/lUSKFYfMYKO0dBlu+jgKmdJISZ\nqsiN46pn5n6wChMd8U1yoSr92BXe9p3V33Ny7LRQfQoz6MIqirBre7ZUqeghkYBhlxtqK4RriMrL\n8/uh9XyqwoSKJ+0IZdfzHHbQK9Wc2gsj6UJL0GfalV37hAF0gbB2pH3ISfagi6PpW48qdKMt3MkX\n4ZEQhRZ6pUkXnNSM19KzoUfiNjYSjPjcyoFtIomnl3X6SruS3gW3O5LtNcWo6I1WbZFQbb1/t7Q3\n4oSgF23t0EphJxfjc6eFy/c88lJRB9EPOd1CZbTSru0dika3BeKOBeyKH0sWkfujEEN4SjeCCAbh\nXJxQCyEplOEWGD44NXvYxeLbl1qQn5Kop33O67sdCgc9T6hF0IeKmzhuD/UgtXhko53mSJgVUeRo\nPgtS+XXb9y+YKZa5ICSkjP5YUeefICrOnz6q1h3HWE1Ud74rY9GM7IepdpqvUdZc/XG9oj1mWhtP\nJfq2R+2qXMRHdchf7MzCPC/XY0Qet+MAGuYT/QuoSksYA2wc1GMeoCrhMTWweE2uigiqElf1NCty\nEL+Yqkp0dtDRIu5RQOjzaT2qnJbXirpnyGsVLwbUqZQPZ8pCCvLJHMdHIS2hY+yjHzb/3wtsOwLb\n9vqvH0S2P+7CII5bELugzELob+2qUb+cHXVX1UN4iuzSZwujiDPqzYuERGLz5klnscZOZa1ccAQi\noPZECQqxbPVxBQ7vUN1Inaqmd9YQr3KEZuTlQAgj2Wa+D4RK7cviU+qVeP2FopGD6i/fAiQIDYbt\n41klbhjikGO3+oz1EjotpSSLH1buxJn1+HKandT/SViAcik1rwYSxFDmuVROdyJv+1EO5HJuDRrN\nC4McbtaXghm5+9Lyth+5T9wvko4pL7rDqpehUOmOHcPZoF+9HHLKWyeidy3ripob8mQaly8rSpVu\nE6Oj/6UgbvkqPbSGAH8gwtrL9YeBg2906Ab1o4jJNScrjgRzWnA+8kPU19xLEz0O2sIvK0UHEhjX\nDVBihTTSwKf2gL7MfYSwou2dVoU0rsDJu4H2cYaCTqhFlceqUs2NsEk8z9HqsHYlsPQYOHY+HwHq\n4ThcRLE7WkaEBguWfsVBy5RLUDYRPkriUpz9XAIkN3hvnI+g4BAi1uVzYjsKBSgnaoo5FwWeAGZ9\nNFucLa5E6FZh6X1eea5GutPXYkR5LyaTIlZHxmBcdtPiyyJKdKZsEDS8Cs1qmhVAcfMCyFzjhlYa\nt1c2t3qATBFBrDSyLkUTBmzlTM5ySrUoC94NYCsRQct7h5D9cTsNl33Q5UlxJaLi6nx09HLz/p7J\n9Q8+b0NSvJ5bfTpHleJ2qlu+K6Pk3MWNKzHWQqfDnRUcbBZw7dmWUidxjxaFi6rKiPIQ1SS5E72D\nmPA5UuKmByLsaY1jpG27+jwmB4tpWq0WGjr+GZv4tba1CI73CTmQSdbX5pTkiguurL2bCOSIzHwu\nL27wQZ52X8d7Iwo8XOGzosiFJGe2lA2K43wHGfI/pUOPJFEBwahxlhJvd1N7SO2uPndOjef+HgZZ\n8o40JaGOBziHrNDTxxG6Tw+bD+gczuuki0OlisacWnAMUa5qRZVZXjrOtJ9C/7ZRa5/EuKesVPcp\ny4qDZdyc0OK0N3WHgp6WPsUYJy7p4EoerZ47XrHpV4r70ITAmp3K4QwfzKU86NohwulrclpenvOu\n+VucXI7jk1y/sxk3lKU1L88NPjTl44DXJANP2eBFZxyA0/LEMDg7VOknBmtGTnW0GNPXeNAg6z2S\nON/IZKDSy6Ed5d8SvhQcFaL5MiO7Peg0EERNEqezHLwoO1jdF4iR2NKSt0SL+1582dEiv9zRRuK6\nnV043r59XUgUyLXZKl3d/TomMmPz0hdQBHdIP6jUO9W7XkfHp4VT7jP6J1ysc8/Ji3VmXB8VArnB\n+degMhHZu0Iuckuf6KIEu8J8RI41MKfgOGJQZeLC03alla5IjTTyUi091sEvqiY3r8VBHF7cCmU6\nTu6J6wPr7jcTz4i/ouDD+Q05NZ4yobussTiPXMRKoI4zgOtRiiFCOwG7gij2uUVnE7KCO9LHeVto\nmvSjrlAgGqqix9TqFJz0so6v+KjxOc8tOqgBs0MgpxF5PqKwxVHPOHV+s4jFP6121D6jNR+hUqdu\nhjOhX6zcrDz6Ku1iyxncTR/RlS0cUZZ7UM7MmY68iuegBKPmTOOKeDme7HOSHCJEcKAd2h+xE9U5\nrWfI8VeMmlRs0SoBgrigR+tEs/e+3O+6ebBWeVifXFL4clGy9fZIndYsUOj1jQk1JUQfpE5Eiy1F\nYdUK8+ZuGkf8n8tlGmfhW4gmK1LDm+av3YzD6fueNzxNH9/51kIkjqHUPIs1VtwxaAGRoLoih+wU\n0+NLl8/kAnNUkj2vc3Jlp7LTowhOYexdKKRIe4ZOSJHSu05I+RTCX3cpydpDh4JMk2KLa9oHOcVz\nBw71oRspHv3/9i78kcO18MdnEVcqdhzPXgt/2puPbDz2iZ6/u9itMc3yXElTrJCk/8TdfM8dONpZ\nSOwpRd10LpYD4Yzqc4xwPVoeJYy35518lvF/G2IemlROrO77JT0jCs7dra26stPE5Q6KfgEup9br\nDZg3H5XkoAjNUir68ehDvRBhjS9UyXob3cbFgUsCRiE+AdOub2RCpsdKfL4D5/vWzIgaN9pwBJAb\nsfSxOK25FjHDfUU3uiEq5yu+89fPKdKnPINYP9z6WpQc/TPk5COI/P8/+6rf/OH1s/9SX7/4X69f\neVzicg5qXS4v0Vd+TteY3/7DWVp9/e5F1UWj4M5Z/fXTp/fntA/P+MMXZq4b5DIPAvnPZirtSgDi\nnowv7Iig18kzckIB3Z0/Z//4nM/2L177wfw+SF91+3NPxvv3/dAUn5xgbk86L8OF+/9mTGmLKS2e\nmqN/rD/98Ps0KTNExN8ZhgbxPoB/+/TPnzhU+o3eKL/f4zG5Rs3iQVLh3/zh089//frZfybUfv36\nHz/5CHOJB5bXr//h03+gPPYfX7/+/af/9Gs9klUb/o7Pf9IzfvaL3/7+7//7v/7N3//xT9/84Z/+\n+K9/0sd8Ej6e8fiLPn7NoJDPRaRffs1n84//GpdWI7H/y18jz/z//mPoMa/6vaX5bP7xH0NLnm37\noz5m/nuszIkr6777MZ/NP/5j6NFZ3f5jPqb9e6wMSUvf3981H+zf/ZwvhvmdD3K0NWPnMObcGi+N\n+asj0AZFFve9EXy2/6QRNG5NDLR/mLU/OwLiy/t9eH6w/6QRWAlX3+dg/og5sDbj+5j6YP9JI3Bj\n/77Pwf4Rc/CZ878cwUdf8BNG4KutP+OgfgCCL1U3gT/s/+WV6v+/O7q/eW6PtxO3n0oPPrkZbvhi\npY8ftrnZL66L//ioD+YvBvrhKV/Y9ep/fF9fvbp+b54ZCE6TJ5xeqB99HMdH83Bw/ZdWfTqi5M7G\niKURIL5v/R+E3OKowuRc8Bev/mj+ca9edMk4DMFVUOPLV/8w2pflCWt/B1YfzT/y1eTXpwzFvZOD\nTB9fXX/4sz+smYXIlJ+YceoY3zX/+RlvtLyQernV0LiYBcmnQtH1Z6b9w/upXJZCG+uL9382/5T3\no5E6BQ3D7kG3f+n1PqOhRKG3L9//wf5TBhA3Dh1klVTIGcL4i0OgBssdfN8dwmf7TxoCteW6R+Eu\nnu0hrGcIhLyf3xxL9pPaNWzi5lZNe/W3/r3LUCaJ19w3NXBxv4m+iuJ7NJS5daCeU+MiAW4s5mR1\nCAZ3UNy83GNklQAuz/V7Kq7clbunL6HmEsiaBWLO7evhSlEHV2+056h+swKB/62BY/mxK9XIU0fx\nRcNcdHTilMHaUWjK7HPHrY3LuprKZR80jKZ1UdR43ZPnf9lg+u7EKOciC1uTEuGHaz3EvjE5//K7\nLxKMx5jBGLHYM3XLrb8P80eX0SnHfyuET8/vq//HMLgQgyML3/hUHA3n3UkJv/L7rk+AKvR7VLWI\nmmvNjOaHfn65Xru+vqGEi9BZC/u1kbCQnKL7hsPcA0UItxx+5dfiJ6UNmqxvuMnjVoof66s/Lrs0\nlBPfVPfLC2eS6lfHPND7Fj4RpbNW/KJF+MqvtdLjcNb5m2IdSK8+Tf61XzcueGckdF/hx4M09yu/\n3jSTKLV9w5UI3H3vewJ/+NeUxcrlnqdvik8WF7TwH7/yVx8zVvqmT9r5y6958q+5ZqHyB538H77q\n5PUvflq08OU/+CKc+zPv+NWn/wNBUIKuCmVuZHN0cmVhbQplbmRvYmoKMTEgMCBvYmoKMTExMzgK\nZW5kb2JqCjE5IDAgb2JqCjw8IC9MZW5ndGggNDkgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3Ry\nZWFtCnicMza0UDBQMDQwB5JGhkCWkYlCiiEXSADEzOWCCeaAWQZAGqI4B64mhysNAMboDSYKZW5k\nc3RyZWFtCmVuZG9iagoyMCAwIG9iago8PCAvTGVuZ3RoIDIxMCAvRmlsdGVyIC9GbGF0ZURlY29k\nZSA+PgpzdHJlYW0KeJw1UMsNQzEIu2cKFqgUAoFknla9df9rbdA7YRH/QljIlAh5qcnOKelLPjpM\nD7Yuv7EiC611JezKmiCeK++hmbKx0djiYHAaJl6AFjdg6GmNGjV04YKmLpVCgcUl8Jl8dXvovk8Z\neGoZcnYEEUPJYAlquhZNWLQ8n5BOAeL/fsPuLeShkvPKnhv5G5zt8DuzbuEnanYi0XIVMtSzNMcY\nCBNFHjx5RaZw4rPWd9U0EtRmC06WAa5OP4wOAGAiXlmA7K5EOUvSjqWfb7zH9w9AAFO0CmVuZHN0\ncmVhbQplbmRvYmoKMjEgMCBvYmoKPDwgL0xlbmd0aCA4MCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+\nPgpzdHJlYW0KeJxFjLsNwDAIRHumYAR+JmafKJWzfxsgStxwT7p7uDoSMlPeYYaHBJ4MLIZT8QaZ\no2A1uEZSjZ3so7BuX3WB5npTq/X3BypPdnZxPc3LGfQKZW5kc3RyZWFtCmVuZG9iagoyMiAwIG9i\nago8PCAvTGVuZ3RoIDM3IC9UeXBlIC9YT2JqZWN0IC9TdWJ0eXBlIC9Gb3JtIC9CQm94IFsgLTEw\nMjEgLTQ2MyAxNzk0IDEyMzMgXQovRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJzjMjQw\nUzA2NVXI5TI3NgKzcsAsI3MjIAski2BBZNMAAV8KCgplbmRzdHJlYW0KZW5kb2JqCjIzIDAgb2Jq\nCjw8IC9MZW5ndGggMjQ4IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nC1ROZIDQQjL\n5xV6QnPT77HLkff/6QrKAYOGQyA6LXFQxk8Qlive8shVtOHvmRjBd8Gh38p1GxY5EBVI0hhUTahd\nvB69B3YcZgLzpDUsgxnrAz9jCjd6cXhMxtntdRk1BHvXa09mUDIrF3HJxAVTddjImcNPpowL7VzP\nDci5EdZlGKSblcaMhCNNIVJIoeomqTNBkASjq1GjjRzFfunLI51hVSNqDPtcS9vXcxPOGjQ7Fqs8\nOaVHV5zLycULKwf9vM3ARVQaqzwQEnC/20P9nOzkN97SubPF9Phec7K8MBVY8ea1G5BNtfg3L+L4\nPePr+fwDqKVbFgplbmRzdHJlYW0KZW5kb2JqCjI0IDAgb2JqCjw8IC9MZW5ndGggOTAgL0ZpbHRl\nciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicTY1BEsAgCAPvvCJPUETQ/3R60v9fq9QOvcBOAokW\nRYL0NWpLMO64MhVrUCmYlJfAVTBcC9ruosr+MklMnYbTe7cDg7LxcYPSSfv2cXoAq/16Bt0P0hwi\nWAplbmRzdHJlYW0KZW5kb2JqCjI1IDAgb2JqCjw8IC9MZW5ndGggMjQ3IC9GaWx0ZXIgL0ZsYXRl\nRGVjb2RlID4+CnN0cmVhbQp4nE1Ru21EMQzr3xRc4ADra3meC1Jd9m9DyQiQwiChLymnJRb2xksM\n4QdbD77kkVVDfx4/MewzLD3J5NQ/5rnJVBS+FaqbmFAXYuH9aAS8FnQvIivKB9+PZQxzzvfgoxCX\nYCY0YKxvSSYX1bwzZMKJoY7DQZtUGHdNFCyuFc0zyO1WN7I6syBseCUT4sYARATZF5DNYKOMsZWQ\nxXIeqAqSBVpg1+kbUYuCK5TWCXSi1sS6zOCr5/Z2N0Mv8uCounh9DOtLsMLopXssfK5CH8z0TDt3\nSSO98KYTEWYPBVKZnZGVOj1ifbdA/59lK/j7yc/z/QsVKFwqCmVuZHN0cmVhbQplbmRvYmoKMjYg\nMCBvYmoKPDwgL0xlbmd0aCAzMTcgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNVJL\nckMxCNu/U3CBzpi/fZ50smruv62EJyuwLUBCLi9Z0kt+1CXbpcPkVx/3JbFCPo/tmsxSxfcWsxTP\nLa9HzxG3LQoEURM9+DInFSLUz9ToOnhhlz4DrxBOKRZ4B5MABq/hX3iUToPAOxsy3hGTkRoQJMGa\nS4tNSJQ9Sfwr5fWklTR0fiYrc/l7cqkUaqPJCBUgWLnYB6QrKR4kEz2JSLJyvTdWiN6QV5LHZyUm\nGRDdJrFNtMDj3JW0hJmYQgXmWIDVdLO6+hxMWOOwhPEqYRbVg02eNamEZrSOY2TDePfCTImFhsMS\nUJt9lQmql4/T3AkjpkdNdu3Csls27yFEo/kzLJTBxygkAYdOYyQK0rCAEYE5vbCKveYLORbAiGWd\nmiwMbWglu3qOhcDQnLOlYcbXntfz/gdFW3ujCmVuZHN0cmVhbQplbmRvYmoKMjcgMCBvYmoKPDwg\nL0xlbmd0aCA2OCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJwzMzZTMFCwMAISpqaG\nCuZGlgophlxAPoiVywUTywGzzCzMgSwjC5CWHC5DC2MwbWJspGBmYgZkWSAxILrSAHL4EpEKZW5k\nc3RyZWFtCmVuZG9iagoxNyAwIG9iago8PCAvVHlwZSAvRm9udCAvQmFzZUZvbnQgL0RlamFWdVNh\nbnMgL0ZpcnN0Q2hhciAwIC9MYXN0Q2hhciAyNTUKL0ZvbnREZXNjcmlwdG9yIDE2IDAgUiAvU3Vi\ndHlwZSAvVHlwZTMgL05hbWUgL0RlamFWdVNhbnMKL0ZvbnRCQm94IFsgLTEwMjEgLTQ2MyAxNzk0\nIDEyMzMgXSAvRm9udE1hdHJpeCBbIDAuMDAxIDAgMCAwLjAwMSAwIDAgXQovQ2hhclByb2NzIDE4\nIDAgUgovRW5jb2RpbmcgPDwgL1R5cGUgL0VuY29kaW5nCi9EaWZmZXJlbmNlcyBbIDQ2IC9wZXJp\nb2QgNDggL3plcm8gL29uZSAvdHdvIDUyIC9mb3VyIC9maXZlIC9zaXggL3NldmVuIF0KPj4KL1dp\nZHRocyAxNSAwIFIgPj4KZW5kb2JqCjE2IDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3JpcHRvciAv\nRm9udE5hbWUgL0RlamFWdVNhbnMgL0ZsYWdzIDMyCi9Gb250QkJveCBbIC0xMDIxIC00NjMgMTc5\nNCAxMjMzIF0gL0FzY2VudCA5MjkgL0Rlc2NlbnQgLTIzNiAvQ2FwSGVpZ2h0IDAKL1hIZWlnaHQg\nMCAvSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvTWF4V2lkdGggMTM0MiA+PgplbmRvYmoKMTUgMCBv\nYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAg\nNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2\nMDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5\nMCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2\nCjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMy\nIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUg\nNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2\nMzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYz\nNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4\nIDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM0MiA2MzUgNDAwIDEw\nNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAg\nNTIxIDQwMCAxMDIzIDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAg\nNTAwIDEwMDAgNDcxIDYxMiA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2\nIDYzNiAzMTggNTAwCjQwMSA0NzEgNjEyIDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQg\nNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3\nODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDUKNjMwIDYx\nMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk4MiA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4\nIDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQg\nNTkyIDYzNSA1OTIgXQplbmRvYmoKMTggMCBvYmoKPDwgL3BlcmlvZCAxOSAwIFIgL3plcm8gMjAg\nMCBSIC9vbmUgMjEgMCBSIC90d28gMjMgMCBSIC9mb3VyIDI0IDAgUgovZml2ZSAyNSAwIFIgL3Np\neCAyNiAwIFIgL3NldmVuIDI3IDAgUiA+PgplbmRvYmoKMyAwIG9iago8PCAvRjEgMTcgMCBSID4+\nCmVuZG9iago0IDAgb2JqCjw8IC9BMSA8PCAvVHlwZSAvRXh0R1N0YXRlIC9DQSAwIC9jYSAxID4+\nCi9BMiA8PCAvVHlwZSAvRXh0R1N0YXRlIC9DQSAwLjggL2NhIDAuOCA+PgovQTMgPDwgL1R5cGUg\nL0V4dEdTdGF0ZSAvQ0EgMSAvY2EgMSA+PiA+PgplbmRvYmoKNSAwIG9iago8PCA+PgplbmRvYmoK\nNiAwIG9iago8PCA+PgplbmRvYmoKNyAwIG9iago8PCAvSTEgMTIgMCBSIC9JMiAxMyAwIFIgL00w\nIDE0IDAgUiAvRGVqYVZ1U2Fucy1taW51cyAyMiAwIFIgPj4KZW5kb2JqCjEyIDAgb2JqCjw8IC9U\neXBlIC9YT2JqZWN0IC9TdWJ0eXBlIC9JbWFnZSAvV2lkdGggMTUyIC9IZWlnaHQgMTUyCi9Db2xv\nclNwYWNlIC9EZXZpY2VSR0IgL0JpdHNQZXJDb21wb25lbnQgOCAvRmlsdGVyIC9GbGF0ZURlY29k\nZQovRGVjb2RlUGFybXMgPDwgL1ByZWRpY3RvciAxMCAvQ29sb3JzIDMgL0NvbHVtbnMgMTUyID4+\nIC9MZW5ndGggMjggMCBSID4+CnN0cmVhbQp4nO2dP2xXVRTH7+9PSws/EcNmuugAGuLCgAmbCSEx\nsjLRgTixlKbCxkZMiNVF4kDCAEMnSXB0MNaFmYEF4sBGGNXaQml/fc/Zc07Sk+d78Pj6+Ywn9773\nfv3kJuednnvfoKrq8m8Gm38Xz2RiAnUZ2InFXio5zI9JDmt8x5DwMeylqr0gOhzaSFXtPyY5zI+J\nhkVXh7cQRIqASBEQKQIiRRhsbNiMzuWnLfPaE7oyndrIeBxMHEx3973WbjXK3LHF3+gfvkTPz4oU\nAZEiIFIERIqASBEQKcKgDlN4x15lC8qj3x+bSP3Rx8ENXJW5HtoMvifV9swzhHRa30/+RlakCIgU\nAZEiIFIERIow8K0eIU+e2MixYzYyKj1tg0hWzXenNj/0VxpVrrCefLDwN2YeLKya0+qhCiJFQKQI\niBQBkSJka62ZquP2dhCcf/CLDZ05YyPRMwQlWd8c3HG6G1SYh1GS32KC3TSlZ0WKgEgRECkCIkVA\npAiIFCF4/Wjc3/DrejDx9GkbmR+7unPY+P1WF82Tze2Ni+ZuGCtSBESKgEgRECkCIkVos2ge9uD6\nuvPmph3z7v07weUuXrSRZCrYNN31ZXo/iqI5dAsiRUCkCIgUAZEitJm1Jllbs5Fz54Jh700SJdnk\nkRdNa61+VHDyRzhuZ8dGZmeDiX4Ytdb/OYgUAZEiIFIERIqASBGyrx+eFg+u8IX1Usrz5zaycPdr\nG7p2LXiyTOqfy+n9C8nMmKI5dAkiRUCkCIgUAZEivIGieZLVVRu5cMFGFo6+DGbOzdlIroTdvEGZ\nojm0BSJFQKQIiBQBkSJkz6LLHDncdWbr07enT4Nhx39YsqGbN20kOoGknpvf945xrbW93XGN9+Ox\nIkVApAiIFAGRIiBSBESK0N+ieWZv4spXwVNdumQjxxe2bOjgQT/x1c7+neaj6Ss/MSiIUzSHZiBS\nBESKgEgREClC50Xz5Hf0MiTP2PAdGw8f2jGffnfeT6x/vGcivrQ+Pxf9HTI5qh9TSj17wET8/st6\nPOMn+mGsSBEQKQIiRUCkCIgUob+11gzJrWq+s3l5OZh44oSNHDpkI4PtNluiqbWCBZEiIFIERIqA\nSBEQKcIbeP3I1N//E5mDMaIS9s/rtoT9+epnJlKv/+Yn+sO935nY3/hyO/gD+hK8bzc5MJv6xwAr\nUgREioBIERApAiJF6MVZdMkekea4unPYP3H2rI1cvWojp04Flz9yxEZ8j0hYM29xXyUrUgREioBI\nERApAiJFCBqUk+lii1lr8votEqbqQbvzixcmsPaT6/4oZfGbT2zo0SMb2dgIbnn4sI34fNf3kZSg\nVsyKFAGRIiBSBESKgEgREClCL/ZHJt9bkjS+o8/p/f7FkyeDeVeu2MjiF3/YkH/TiO7Y+FszrEgR\nECkCIkVApAiIFKEXrR6Nr9/1rs3gG+fRwdSbW/Yxbt+2Y1a+fT+4wbNn7lqu2XkyCSa62jorUgRE\nioBIERApAiJFaLPWmuT1dzZnM2eXwNfDkYlE2/GCnW8ffGjvePlyMHHly79sKNP8UYL+D1akCIgU\nAZEiIFIERIqASBF6UTTv54mFJf3StVfZ5/dN6+GpHtev28iN792XZbbc12dK0LfOihQBkSIgUgRE\nioBIEcaNWzGSZK7Wl6J5Ap+gluioO3+kXPjll1u33NWW7Y7MG3+6XucS1NZZkSIgUgREioBIERAp\nQrbVI5jZccm0xf14jR+1xd8Ybo6bGdvr+17npaVg4p27nKAsCiJFQKQIiBQBkSIgUoTODxVsTD+L\n5snXj+QH2n3/h6+tj8bBHRcXbYQVKQIiRUCkCIgUAZEi/AO2iicjCmVuZHN0cmVhbQplbmRvYmoK\nMjggMCBvYmoKMTM4MQplbmRvYmoKMTMgMCBvYmoKPDwgL1R5cGUgL1hPYmplY3QgL1N1YnR5cGUg\nL0ltYWdlIC9XaWR0aCA4IC9IZWlnaHQgMTU5Ci9Db2xvclNwYWNlIC9EZXZpY2VSR0IgL0JpdHNQ\nZXJDb21wb25lbnQgOCAvRmlsdGVyIC9GbGF0ZURlY29kZQovRGVjb2RlUGFybXMgPDwgL1ByZWRp\nY3RvciAxMCAvQ29sb3JzIDMgL0NvbHVtbnMgOCA+PiAvTGVuZ3RoIDI5IDAgUiA+PgpzdHJlYW0K\nSIntz8EJADAIA0AV959YtAtoX0KLps9KcoSD8qckUhxU2xKNVcD34VN2AN+HT9kB/AHO4Z4ngjg/\nmKX/pEXTJdFYBXwfPmUH8H34lB3Av8IPz4yjcQplbmRzdHJlYW0KZW5kb2JqCjI5IDAgb2JqCjg1\nCmVuZG9iagoxNCAwIG9iago8PCAvVHlwZSAvWE9iamVjdCAvU3VidHlwZSAvRm9ybSAvQkJveCBb\nIC0zLjUgLTMuNSAzLjUgMy41IF0gL0xlbmd0aCAxMzEKL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4K\nc3RyZWFtCnicbZBBDoQgDEX3PUUv8ElLRWXr0mu4mUzi/bcDcUBM3TTQvjx+Uf6S8E6lwPgkCUtO\ns+R605DSukyMGObVsijHoFEt1s51OKjP0HBjdIuxFKbU1uh4o5vpNt6TP/qwWSFGPxwOr4R7FkMm\nXCkxBoffCy/bw/8Rnl7UwB+ijX5jWkP9CmVuZHN0cmVhbQplbmRvYmoKMiAwIG9iago8PCAvVHlw\nZSAvUGFnZXMgL0tpZHMgWyAxMCAwIFIgXSAvQ291bnQgMSA+PgplbmRvYmoKMzAgMCBvYmoKPDwg\nL0NyZWF0b3IgKG1hdHBsb3RsaWIgMi4wLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1\nY2VyIChtYXRwbG90bGliIHBkZiBiYWNrZW5kKSAvQ3JlYXRpb25EYXRlIChEOjIwMTgwNTE0MTU1\nNDI1LTA3JzAwJykKPj4KZW5kb2JqCnhyZWYKMCAzMQowMDAwMDAwMDAwIDY1NTM1IGYgCjAwMDAw\nMDAwMTYgMDAwMDAgbiAKMDAwMDAxNzk0MCAwMDAwMCBuIAowMDAwMDE1NDIzIDAwMDAwIG4gCjAw\nMDAwMTU0NTUgMDAwMDAgbiAKMDAwMDAxNTU5NyAwMDAwMCBuIAowMDAwMDE1NjE4IDAwMDAwIG4g\nCjAwMDAwMTU2MzkgMDAwMDAgbiAKMDAwMDAwMDA2NSAwMDAwMCBuIAowMDAwMDAwNDAwIDAwMDAw\nIG4gCjAwMDAwMDAyMDggMDAwMDAgbiAKMDAwMDAxMTYxMyAwMDAwMCBuIAowMDAwMDE1NzE4IDAw\nMDAwIG4gCjAwMDAwMTczNDkgMDAwMDAgbiAKMDAwMDAxNzY3OCAwMDAwMCBuIAowMDAwMDE0MjQ0\nIDAwMDAwIG4gCjAwMDAwMTQwNDQgMDAwMDAgbiAKMDAwMDAxMzY5NCAwMDAwMCBuIAowMDAwMDE1\nMjk3IDAwMDAwIG4gCjAwMDAwMTE2MzUgMDAwMDAgbiAKMDAwMDAxMTc1NiAwMDAwMCBuIAowMDAw\nMDEyMDM5IDAwMDAwIG4gCjAwMDAwMTIxOTEgMDAwMDAgbiAKMDAwMDAxMjM2MSAwMDAwMCBuIAow\nMDAwMDEyNjgyIDAwMDAwIG4gCjAwMDAwMTI4NDQgMDAwMDAgbiAKMDAwMDAxMzE2NCAwMDAwMCBu\nIAowMDAwMDEzNTU0IDAwMDAwIG4gCjAwMDAwMTczMjggMDAwMDAgbiAKMDAwMDAxNzY1OSAwMDAw\nMCBuIAowMDAwMDE4MDAwIDAwMDAwIG4gCnRyYWlsZXIKPDwgL1NpemUgMzEgL1Jvb3QgMSAwIFIg\nL0luZm8gMzAgMCBSID4+CnN0YXJ0eHJlZgoxODE0OAolJUVPRgo=\n",
      "image/png": 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ZakmljiTC4bMAIBUMXonSSaiuLDt+/EUAEQBIFbKZFNgP4IrC8kAlOwBw9uHD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1805ffb198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10.5,3))\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(t_simulate, vdp_solution[0], '--', color='#666666', alpha=0.8, linewidth=3)\n",
    "plt.plot(t_simulate, dmd_reconstruction[0], '--', alpha=0.8, linewidth=3, color='red')\n",
    "plt.plot(t_sample, training_data[0], linewidth=3, color='#666666')\n",
    "plt.xlim([0*period_length, 10*period_length])\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.imshow(np.real(dmd.Atilde_continuous), interpolation='nearest', cmap=plt.get_cmap('bwr'))\n",
    "plt.axis('off')\n",
    "plt.colorbar()\n",
    "plt.clim([-10,10])\n",
    "\n",
    "idxs = np.argsort(dmd.omega[1])\n",
    "idxs = idxs[int(np.ceil(idxs.size/2)):]\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(dmd.omega[1,idxs], np.abs(dmd.b[idxs]), 'o:', color='red', linewidth=2)\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('figures/05a_vdp_havok.pdf', format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Consider how rank affects Van der Pol model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0, 2, 0.7333333333333334)\n",
      "(1, 4, 0.6666666666666666)\n",
      "(2, 8, 0.5333333333333333)\n",
      "(3, 16, 0.2666666666666666)\n",
      "(4, 24, 0)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-2.8623511308148055,\n",
       " 60.109373747110915,\n",
       " -2.3733834047890938,\n",
       " 2.3731189737516791)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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z+7OVnMemjm0zNMZKzTDChVqDCGG0/oIOQke1iPefSUfHMsn4LM16ETrbSC+W\nrK6p2qDrytOJvJ9Zq8P0aUTWzGAzumpp9MALBTsj8QtRehpvsma/SeBurqq1mZYw+M3OAVeOZS3e\nnZekhflyXyC+1fCdXZh3IttIiKyMLNggG0JGw/hCGe/EpeRCV7KDp9WbuL29GKcSOHnj6DgVK62J\nDXL7ywFXPOlmXNcl4gfODbdOVQfUdXhA5+V04cnYTXHyOxMy/LHDSXYBdLuDf2nKciPBb1tC/wzi\nlwtLzuFSuQqxUNr0iewndYXYGDIw5Ufs87KictReoqlR1PeeXyXKiRbq5vb6ClHkFDmLarys/fDd\nLYosDVdYj5F0NfmG9Jnzap/MoXI3umWSpHpcGpKoBDG34U3A9tWzyAxyMoXHt+3LyIm2Frwn+H2r\nvroV8r6nWIYRgJFAe7hcul1CFBIpzNciv5tTEnLFbkWxJT6pG0nhRozsm2C9dvYQbvrqiNm7/mW5\n4BAcSyIeX+SoyorHIcy1hNta2LXh09agg4LDZiFvLkf6zptHAQIQohMqGmGX8TLMtpth7hCrIL+c\n6d7td7FqsHgrFS2J84nNkTbJsJVZYPQc4cp4/I4wZsF1he3kD6coIzNKJFdf2qLiljqo+XD96Qk+\nr94yzxvlrldYV3HUE92kJE6QY/CBW06RjKqOLtVUWsZvpc+9h6jycWKqRpKTZMAhOHEcKH2JdKpq\n5cBVw3cEXxCYOiMJegrKLjFWw/DUCkapzIyL4ni1Qv7K8UGtS57HbW2UFVe8cUoDJ2ZAwpLR2kUX\nDJ4Th70hMi+WEmNIYEYOE6sMUvz8YGGU9a1BOtgMBqU/H7rnoXQDo4MJvXx7ow59+n3QtF5eHaKA\nVCakP7hePeFB5BB0aBPXQ7dUSbGqI0YQN4VI9CDl8LlECmdKFzOYuhVjtQedhAAqwAd0Z56mMqAl\nfDVpnQvGbi/vSth6uAgZ4wEma2TmKZKnZN7pWN2XKJdxkkDywRpT5n6rL6EuAUIQ/1JP3Fcu6sbC\nwctDr+lC5Rb8s/CflXKc/4qUI+Wm1Ll1x+ala+Fl/f0vKv9qexT9O6WFmOyxTTJKusSLvEjC1147\n5WAY1gHKVNolmEm6R5GbwGgv02XBPL2TLAJ9r6DIg1Aks8oeDVWyUje2QC0zpq8yxrnuLya74awW\nBJbI4N4DE0g3vFxR3yLuKekUMpdPL85RRjiUPw1Y93HEGB2ClD+RzRujhGk++M8eMOwr65b54yqY\nGvCmyCye7i3tDOiCsjJWaC6555GQICqvJUFmQ7yEqtcDltEc397ciMK3ghuJ9b0N116Wv+bCdg4X\nj+L5nWRSyLL7VncNuC5ptOd6XWBDrA3LG4vEl4jb112AGmT1GgUqgs+JyljOhfQgm3CpKOtO90wI\nHyUI5JjR6bPOZuZ5jEECeVHRgRV9KWHk2ykS0gejURzJLVFKQPnAbSYrD45AjUuuq9DXsukiwb4o\n57gB6xydGyW9MhyDe8ztq93VbxT2jBlVRxAE5Ts4eOsURNZFFdsVOLGXSo7SI6gr+Ei5nTCh0wix\nfdcH9Q3QlyHWfOHdZ8BwHMIvlwEozWdJRuiL+tqEZTaRd9EbJ1WGO2HdHMo0gYftz4BhAGKIT/LE\nWXEFkbDalWWJ9S2R2SzeSqpXcA2kM8J1g15IKYYH6ZDfd8LYiscmd8NW7wlfqk4C1b2OMRDLlDFQ\nYS2pHbGTgqUCsw8YTRghTAiH+OUuu15JLDDTw0EX4LozrO5YzCA2CSwhEK54hGJkH9rCX1FJbBt4\nECP6wOyUixOzoOibpOylNnr3MPuJCRHjMyxFXr8PH7nt+OdEq3RWI0oLDVALVjL6hGe8EtfBdrq1\nEJg/GVMnZgOnMsJGEpVvDzjRJyxw2gCckCVOVEi722JflhqRtsUSRqgeh2+gH0fQoeCfL9eyIvRX\nj0CkYAlBerdwkDGhI+oFLnlXgt1Mg4IIqjGm/hRblfsgBz6iPZqONotQsWXEXKFoXdOpDX0CaMxs\nzgF+7WWniRxCz3kWUmjBMJPOWt95ak/7DEOeYorYFQx8yXA73DCgV4/wiHAtCAw9M7p07MLVw5Cf\nQRbFKrnJZ2dJtJY7Hl/DNfaBa9/spM2ojAr/HxbMdYmzswNmAhknGDBnf5b2SrYLTlp3hmJyuOIy\nwoWs1WVXpELqC11gr1MYEM0wdL96rFm1VHSNHMJSllhsLSzIfczfnZL9S8ZffCsVKxRg2NK2EHg4\nEUo/bxezJuvEjFk3+SCVNd355Y8gu5zu2rmBdbmj3p6kDT1mcDIHzvnKoDcH5jTndTCddf7vwzf1\ne2GCQ99Prg5tWIi+2Km7VMYH8cFusXNYNOc5nLvESYiP4H9o2/p5z+Pzu1aQxh41adgkc7R1LagG\nkuChd0naSAaFS41JprsSxI3uslANeqCiQ4hOmKpT6fpje7AG5RxYC67jCFVnorYSlvVWww4fj33H\nBFyeaDu8LvfoCdg1qZNXjjOywQfT3VQaGZ7rFeu6QIksPVHA8qXpUCxLxTDGPLVV30pgkgHSC5gl\nF4JKwvI5qcVyfdz9kl/0vfApKEBYL6wD92VyfEB1wiInie0qZSsRjFVCMPwRX6TKuKAnnJFIfDfS\nYhWmGQyuszN0hZG6B6cdeMOjT/jyp8swOZH4Roo6KwEw2zC1xNE1cfTg6xA/vJp4DEJrIDwHLHRi\nQCH2KciCBGZ7XqZe7Y+qQv3+sVOg6Y+kJyAutVM23AcWY7ATKqkajirBOoosesKT23hQjhtqWhA6\nmmmrWk0MjdMjjgLcCZ441oUFOh57hZYloVOk3bMJiskryzRVwj46upFCQBKf7rYaJttnTSDtDmif\ntD4hDteMMwguqdDHq81IvQcHBrJ1tbygl8+XA0ON94w4gUbZbxjZwaaGThg/c73mYfJQWko1OmSt\n12sMrvNM6ZURI7fFoofRtjDq9+Yl52bTiSaEFI5k+TYh02u759hLCWavCTAwpgKnOHW/6upN7V2Y\njLRwSHyZbYOskEwbBHdW4hLbprSZRDDWedSVIqGJwAcnMPSYLg3PJsbRVo1cHJh9xTlvqnSR84aJ\nwm+o/IhMeP//pHp7OdpORzLi2a98ezHPHUTjm91tzHRpDnrT10yLnbOHu5izbHBlM+cyigkGlrBw\n6mR+f6u08dGOJe8hkRecE5p2uPcYQy7C2K9K+9JuZdmlO/rs8aqxKSZoUeaMX3Mfd0U3wXxxNmiT\nRzPOyezRVweB+HJqcFoWfxHtpKRhxiOpUAbnqsbj4NT9TVIZO5s76IgEhd/l1RWKUJDLpED3Y6lI\nSFU0X6UydtUvqwX3mKR0ceb/nG+7t3bwayjck6F0vt3eiLGMz15klVf9wrbXP3QR6TVpC+y/bqTk\nK/Bxr5WAyTYtDzKpjesJy5SlKmFjyd1HSnINIXRPynvZ+sdooYGQrobL9mqSRTjSsmv1EWTzZLvd\nx2fRi8h8bf6utEisUha+4LACL3zfeNodgzBmKCbsL+EiGMucz3FfgqypI2bHDA8wBaDJhUCm0t7A\nT0vFjgdTCo/mwGhu5Uty0elCZALXHjxu3/RFKwu3iqEZTqJzk2d1zu9m/4zpBlJaJ3p1tbOzrhmB\nWq0asXLro8Nghrhf2EGEvpJewfvAHnOR155xCKkEr7TnQnXr8GZmESEXdFHUq/4szAJqkVpz+Av3\n5Lb1ysaRyNpeIl2dynXDTsmxelJrNMj4J4yU5rwJZRg9VAy8E25Jd45ljiTjTWf+CsR+XNzb14Nl\nZ90W6XQIoPWVhl9KbE8W+uw9X2m41qdk4HPoPdnFj+Yexfli4rBj1C9Oi44d8VmaSr1KchnLkMP9\n+H5Gnbv1ubcGt26j/b6V59chQDPntLP9VZ7rkriVFCJqz0dqsZlbXx+5R13Rdm1PneBszZQ5nAlq\nRZtxeB3fMnUCNii27mrBLL6n7Hx0x4qRqPTEieebO0egTMB1EMPCwiOZDhtGy7+SnHhqYWhr1VNc\n1tsfp4V+LCOk5bRfGrC7l4QUhZk43+MbMR045a1Zp97dytNNJJejDUZppdKDHT342JkLCUMv9K/J\nqyUdQ3gmMipc8t+5dMkRX2yyw0g2dc4zcChUH2tnvTtRkPoqzyU4WxR2DuyLlfApzkya+Ezc9nFU\n5Ju7Y4Yt0bP7t++h5BxGOR11OgQH4/T5o8AtMkIESh9JhZAAWQYC4pKv3+f3oNmh3R2JxtAMCw05\nt7NupPd0qYINUayNidAQczx1Pphsluxa/uuObFJBm8RtPbLINu2dde2EvBtZW0cU4ek8WPdrBLxy\n9zapI5bpA7mHlMVv9stCNbphwynJ4iBCTlCNQs8+IwXgerPqzlJMb8yeFJTmxkGaq6k6e8TSUpVJ\nbW8F3jVF8eZG0F+JMbR+JWzkTcG0O0TAryFF9y3p35sAIHScXer6VvR30yaJ00qu5DrBYHRzBleJ\n76SS0SBJ28Irm/3o8hgy5H9kXQCPL+8H2gN5VuAFIfNV7cv8g03HVCVgyqPT4HZrIbbN8tEfm0aK\nDUVOnLllR9sdlS3x8GUVvoX82Dkb1UwruLCWqNeHMtOB6QJbH2EGx0yW1qbX6sqKFZf0E1BB81U0\n+bd1Ja0HpBfIpsDvBOYfMuKONR8dPuq3/v7SPSdUUYaiqL6HpGonUhbzzkpyyIkOCkDqyIZZ5jzL\nwtL9piei/Ic48Kf5VoysvIIJaJisfTcJyl2A64pNIBKvkUvUZx9apD18UUsU/XykjdOhBb+bCjbj\n9WQBDjF6KYR1s//PzkU8DoibY0lbIxlv6xXfT7cMDOkkH3g9skwlXJz9hSQU+xeXwm6B64YmewCP\nWKLVDX2JScz3XXRZcrGbKxK0wN+q/E784Bhv88Vmos2hA0KUKkjInVfdT+3pCVyia7dXxk8DneyP\nBMGpPHrNzDJ716CP/CyYXm4qFC22VluvjL/O6ACKdK3mdASOtOivX2uUnrq2iSZ2IVwp+0i6CV2C\n6PtjXH5O2qI4zaTYo1p/9hZ1jpBoVrTudekJZfBB52hmDNZgyqIl9qvup8ToRNdNrKz97dLZ3W3Y\nQno+e5wTCZetB+9Yi5yF8905/xqU6R0dK/4IWswk2G6PVuI4m+VeZ6ytOYt7mWa3KaLZt7pjo5vO\nrd+8GDTYcty33ZQ/1xVbji0Q3uNDEqb1h1bK7WhmCJQL08GddRx33HkO3Dq4QX6fJvONR//pDUI0\n6NEX/6bnSH1rGuZXaucfh0Yf3/UeGxB7x9kg2D5onwwsZ7HnIHQvoecMs1sl47G0MOsOUNJUjGK8\nkfCVGNFdBN6uDv3D3BrHLPyJVKQla4m6UbMIsFhuT5VuJo5rt5bt5+x85Oj87Np81wCv5B/C1sHH\n7DxdKH17nBviCzpyECp0CsJfuG5RxX1ZbhvWcmyqJzdONPW/siK+fReaed3AmP3ty9AJJgwUuHNK\nkkRsSpIgoTfPvK8/AfWBfQZ8ocq/Xq6b7F83TCepL23n+Ggum7VlBN/G3eMI3zs9WPt9jV/pXaJv\nM1W3ZrNCUiVkrKz77x7B+jILRyJiWJ1zotproCA9S7wTLSrNkBP8Z+E/K7u7/hXZXVh4y7lb+FCE\nLCknJUrebBxyseTc2nmYbmbgbIK7FUXXZ0LhN1plUeQiI9SeA4HzTt+EYF7QOjzHwDQd0cD9DvJO\nAS/eE4NIbkUDYDe4aibmAJ+9HJdhIj26vbt+ZkVh5TQHO7ghjZzqdIjPxMHu5KmLfFYUGuLCtGoU\nQn0PFcZVpVope/826ZQVMIKphi9BYNA5aROqa0RAvNXRBmrRxkP2WqhTXZoIE3L7qD5ftugvkWfm\nt2hBKP2RXed6FDa6Ar9Fo3GE+YhiGdK/uiorG7pKzN2E73JDEdfGjVSAri6bLgiBFyu9ZRMSSmlw\nejstn2o0qI6LQCQ7Oias6B60HG3uN5UQzZk9P+JeHRvY4WPdad83LOZ6VlbyUcJmowtuOpXmNYo+\nxt4W+VjaWssSvXInRW58DW1QaJJ5kn/WgrK33c2Hsg0sIJmp/phozw49CLuXdqo3UDrUSGwv159F\nyGfDdYUnFFb5ihPsgqxWY4QS15LKVkJhy1jNohDY3NuMBRdZ7ajZACUaZ3RT2xIgrQUQ0de903xg\nMFTpHu9XIRZt8m3baORW6cxF3RfHedMFoBPr9rMlfryA9lTkawDvym6wtFWWBaETgqewslJgm0yA\n3Pc6z9B427RyaFMY8y35ErSlojytgbbor/XHr+NAMdQYVnll74tDqRcsH4e8tDvBiiDLjLP0cZ2c\nhahQ9/WgqoOAF7XiAfZrehy2rm6B1cDp7rShW81QZAlvoBTHbOdl9OHRGvgQw3H/THgKd0bUnsZS\n5LWmFX/k+z3d3U746VayoQKAT+Q0u/tJRwmLP47oeDzdMyFAPSZVRfFTD2Sgd8L6khZ27UbUJzqb\nbV9H1yk3bAETFGtxdy+81Xz6tukOVI7RZwtSPlw2sGtKiXpVOzUnnfvIgpmdklQaaUebYN0tXkJX\nYqev6FbDTR/RG4XcFO0wAtUtjzQQ3oYsUjdVP+bx2hY6JvdaYmOc4hwkU6XcoO7TRVarZBPJmazi\nzu80nW1BIgyPZbstHkTTLKLGTKa2a0aqYvXo3usEkmRBt11K46OVtJY93NDCBVnH/adMayGLlq3p\niXV4oWz0LjIuljg0njObpLJN7USMGIvdBgsmrxzDFsVt8IwtceBy0fsrciyyY4LDDGd60CLGmRpq\nnCzksNWohImcEX1TWVZMoSujuGIGTvn8Pk8Qubvb4xgdxw7FdYSW1CPoqst6zf2qCoRJ6n0I2bVE\nr3Mfrg4qyc8hg99odEVoTae+PnTY0QS9rTjgj8aX9Y8sQT6cqMniV1s0gL55kQMbmSPEjnKPeJQb\ngaaaqHxCquzpuII8DeaFnjmIV5utmAw1YXpLtjB99XX7y0+hosCm794nu32ZnWw3ZLkC54RpiWEE\nf2Z9XDHRs2spHOThhpZh56VPBKtCohUYZurrwmcSCA3sEKO6hj1CeoJJzCGtijmSSXOILo3aZMo/\nJFUirSOYtt5kBPrvE2YKdHHp2J6u0E8qCeRmayQuvHzw+eDlBqd4b6OVNz3ZOo66cotkpkZWt2BU\n9Rk/YyB3p39ZKrpEztXx+DHZPcZu3Y3I3Ef6zP7gWcMLpQOSpVrOhEYzobrJsJQvp0WHtvd0K8nW\nGqcv3oqifYIJJ1n41DNppVfE+Nb72QOTQnQj3QaUlmQtRJc5LdFTyO0+aeZ5EieUnr3nTiaLyHUW\nc7BwTukKGW/lZwPk76RvSrLtJNwlP1wSa+pHltxByqbcLH41YHC0X0MTUqYOOFKWnE1oopip9xU1\ntL2QOEicMgmX/0K86JknpZypnBOVuFTXjEQXhbZRNTV7f6P7TwnFmyjfb8b04GzwOzsj5M8lo2Cc\nnFL171m41Pm+2Sx3G8QMZNeogH4dRCrkrEwtH9p4G+fwkwIxUYupPVjON8oeul99la/0FaHc+3z8\niyitndf3417/DAW52b2zvgIZXXHHYKHUnkkq0GUbGFjqI+5jw17Ht2AMnaSeFAS3BUYPzeYm/t+n\nF13/J0/Tbig8a5SFw6Ue42adMMxhdI+flQcaTmRz9twOfnuy8Y8gcPCTCn4hv92RdA+78kTZyCnN\nE1R9YLIE+jLXTLfXKH268lk+IjXT5Lle7/fT3VWGDLn0Xnk0C35IBP0A4/OErRA0C/9wD7kmGYdf\nPsWgy44Wm+Tk+wWftt3qULJyQmRz7uSP6ApCtUf/TELWJY8bQalJLTkwEjQbvuBvVzovRHTj1tcS\nhEycdgSSFJGER5xYsHQtzAutxB9DotL9zlEFWP7ldfjQ8SXrtvh5hTu/fIpFAe1CPN/77TDRzHXR\ncu6obIqAMxaP9rI5unpNWXxP9yiWo0JlUC33fXz7904oS9CJ6F9ahkS440zkL153TMwsGdHZl1Ti\n/n57xEuMl5mF8vlbNvazZJRFdKtSZPDoGgS0V+BtjGxlbYJpVPlWU/rGl39BV9kot6/1daB2fHO9\nBn5SVtmqAztpk+R1EySZxvd1IDkyEnbUXVIDtB5Dgp/tmFG/6S44NXHaozhX3vwbYgFjuh932XGn\nqXG/hIotu6SEIDr8JtgjQmBxn2jRMKlIeE0/kErZc4E2Ve3LeKjTiRsolK4zT/xOx4eLCTS1vH71\n/LpIlj9ddEnCkE5LdP7iBxJiKXHkK42NU8z95jVUYlDTOdIjd2S+lh/URUvqYvO8d/JTa7RSWqCF\nKvFIjLN6bm7tar+XAIPTsAsxEQd3a5mvYzy/5yZJaGN75s82jGh6ozUirTBa/roXbTfcTZGO26Ws\n74/XrajHoOkHd60nTDZXS+twS+tfUoTkpB4BXenVBfVh93iYtiSBkvdo/AbEMElxJJXBfhs+b/z4\n3khewYIZR1QH1oluerahd/9kKvYM39+kCv8C4fYgNYsPh5sm8HM2LreZeWrhPdBrw7B2K68/PMSJ\nm8OX01xyPSaDC6wGMIZHNv+/8RM3+nTigS3ZxgPzYXBO4YWQo3/cBD3Mb5GxCvqr+xpzwLfS0Rku\n3t+PsdB5pVC3byrlwZsmswNYPmmURLmJ/aZbxweiOn1fX2/7M+TGa0Wox+lpy0143vwYCJqwUKv9\num8Qf5IVBjFqZeM0VEMvltg2RLLxLe3otU3dSqISc3rd6DfNgBrwjfamfwQNQYuNcqPmaO/v7/3R\nnmTYoK5ZFWMaQvVvHpBYRO3/E74BdetE2deNYrOgG0xXN2Msy4qMDCshOcTDCUOluxlS4G1cV9Zh\nLtK55uEELLKSkBYd4/064Oa33IZxYu3Jw6CbZ3T1I6e+8wcbZzQFmjHM+Da2RoHd5s40TPOrywjv\n4RpEIeQxlQmcvmR9mEEVVf2lveYdSM8WXWBlT2XjenzOfXvA+oqVfAa4bGTyTEXVKpz9UvzVOeKo\nKU1KPb0vznbXdv8uI43jjXtIftnnmqO2MgWPGuhcyuv4bNKPXR4uT9eVs/1m1SEwPYDIjcA4W0nZ\ncrSbxh2kEek0FZkjN7Ko9M+AMxlxvT+CDFAh5JmPOXKvF8kzfrviOqb87WFBBb5r2+SutJem55eu\nyPnS77bV748falslmT6OyN3XNeNCFHD6gh+S6L/bXch8pM5vkKJJGg8xwMlPWXyI3syX0idYxi+a\ntg8/z0h17RuaJp76U+D52AjQBejnvIDpUFNfpn/AJ6kf+nq195Mz5gVwfdDNw+T/QP1bCxuYos/y\n/alFfsx0BEzln2HSOG5j2P0LSLn+5gWME2Pz21ZfAgA6cvKN2oe5X6pfc0UVodz5NYCAycvw8wef\niC7Pbz8MOUl0R/ZPkc7kprpzH/31P0E6eU3xp8lgwPzyXXkfufx7L9ewmcWvtf4+NBD9oMBXSS41\nPSzGoNeZfxVlZYuZ7VAqJjW0HipEXoadgHC3EpBrfcf9f8PkRX79H8Rf4HcKZW5kc3RyZWFtCmVu\nZG9iagoxMSAwIG9iagoxMzk2MQplbmRvYmoKMyAwIG9iago8PCA+PgplbmRvYmoKNCAwIG9iago8\nPCAvQTEgPDwgL1R5cGUgL0V4dEdTdGF0ZSAvQ0EgMCAvY2EgMSA+PgovQTIgPDwgL1R5cGUgL0V4\ndEdTdGF0ZSAvQ0EgMC4yNjY2NjY2NjY3IC9jYSAwLjI2NjY2NjY2NjcgPj4KL0EzIDw8IC9UeXBl\nIC9FeHRHU3RhdGUgL0NBIDAuMzMzMzM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      "image/png": 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wyK3RhupAIMAEhe/Trpe/IiKRCBRF0ZzYwwsWCafb7U7YH2jVYWVkZOh+kZSU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1806718b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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Kndorzd+RGjuQZJ6aBR7VSGFA6pv8FAlkWZcd9WnqdLJzExM76azytewy0k4D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\nIC9JbmZvIDEyIDAgUiA+PgpzdGFydHhyZWYKMjA5NjAKJSVFT0YK\n",
      "image/png": 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XK4qyDXgX8925JHNdOXYMw/AAeDwe3er3amA60Cc/P3/zmDFjvlldXb1427Ztr1x//fVP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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f180645dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_delay=128\n",
    "time_delay_spacing=1\n",
    "ranks = [2,4,8,16,24]\n",
    "dmd_reconstructions = np.zeros((len(ranks), t_simulate.size))\n",
    "\n",
    "for i,rank in enumerate(ranks):\n",
    "    dmd = utils.DMD(truncation='hard', threshold=rank, time_delay=time_delay, time_delay_spacing=time_delay_spacing)\n",
    "    dmd.fit(training_data[0:1], dt_sample)\n",
    "    dmd_reconstructions[i] = dmd.reconstruct(t_simulate, imaginary_evals=True)\n",
    "\n",
    "T_max = 5*period_length\n",
    "xx,yy = np.meshgrid(ranks, t_simulate[t_simulate<T_max])\n",
    "\n",
    "fig = plt.figure(figsize=(5,4))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "for i,rank in enumerate(ranks):\n",
    "    ax.plot(t_simulate[t_simulate<T_max],\n",
    "            -rank+0*t_simulate[t_simulate<T_max],\n",
    "            dmd_reconstructions[i,t_simulate<T_max],\n",
    "            alpha=min(.8*rank/ranks[-1]+.2,1), linewidth=2, color='k')\n",
    "ax.view_init(elev=50, azim=-60)\n",
    "ax.axis('off')\n",
    "# plt.savefig('figures/05a_vdp_rank3d.pdf', format='pdf', dpi=300)\n",
    "\n",
    "plt.figure(figsize=(6,2))\n",
    "for i,rank in enumerate(ranks):\n",
    "    color_val=max(1-(.8*rank/ranks[-1]+.2),0)\n",
    "    print((i,rank,color_val))\n",
    "    plt.plot(t_simulate[t_simulate<T_max], dmd_reconstructions[i,t_simulate<T_max].T,\n",
    "            color=[color_val,color_val,color_val], linewidth=2)\n",
    "plt.axis('off')\n",
    "# plt.savefig('figures/05a_vdp_rank2d.pdf', format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Consider how number of delays affects Van der Pol model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 20)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/pdf": 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XqDlLa2xGPytOT70rEgMmxxK2t7BPvSQArp0oyD6aJ7jnkVp13ITudbilI3v3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\nHDBdjiBrJYcVMhKxsSdmwML4phw1Rmt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      "image/png": 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jMZSXlwdBELBixQoIgoDm5uZZLaAmMWSmFkmJkTMkSRKysrLYyfSJUDtuQPx0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\nholr/h+ckvg8aGkFWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f18685f4518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "image/png": 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5L7Ek6FNFJZknPckgkHSgqMSNF/IDv3379knXDQ8CGzZsoKOjg97e3pJqqvW1pmrQIfcx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\nLbFlknwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f18062f9dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_delay_spacing=1\n",
    "delays = [8,16,32,48,64]\n",
    "\n",
    "modes = []\n",
    "singular_values = []\n",
    "\n",
    "for i,time_delay in enumerate(delays):\n",
    "    H = utils.hankel_matrix(training_data[0:1], time_delay)\n",
    "    U,s,Vt = la.svd(H, full_matrices=False)\n",
    "    modes.append(Vt[0:2])\n",
    "    singular_values.append(s)\n",
    "\n",
    "T_max = 5*period_length\n",
    "xx,yy = np.meshgrid(ranks, t_simulate[t_simulate<T_max])\n",
    "\n",
    "fig = plt.figure(figsize=(10,4))\n",
    "ax1 = fig.add_subplot(121, projection='3d')\n",
    "ax2 = fig.add_subplot(122, projection='3d')\n",
    "for i,time_delay in enumerate(delays):\n",
    "    mode_size = modes[i].shape[1]\n",
    "    \n",
    "    ax1.plot(np.arange(mode_size),\n",
    "            -time_delay+np.zeros(mode_size),\n",
    "            modes[i][0],\n",
    "            alpha=.8*time_delay/delays[-1]+.2, linewidth=2, color='k')\n",
    "    \n",
    "    ax2.plot(np.arange(mode_size),\n",
    "            -time_delay+np.zeros(mode_size),\n",
    "            modes[i][1],\n",
    "            alpha=.8*time_delay/delays[-1]+.2, linewidth=2, color='k')\n",
    "ax1.view_init(elev=50, azim=-60)\n",
    "ax2.view_init(elev=50, azim=-60)\n",
    "ax1.axis('off')\n",
    "ax2.axis('off')\n",
    "# plt.savefig('figures/05a_vdp_delays3d.pdf', format='pdf', dpi=300)\n",
    "\n",
    "plt.figure(figsize=(3.5,3))\n",
    "plt.plot(singular_values[0]/np.sum(singular_values[0]), '*k', alpha=0.3)\n",
    "plt.plot(singular_values[-1]/np.sum(singular_values[-1]), '*k')\n",
    "plt.xlim([-.5,20])\n",
    "# plt.savefig('figures/05a_vdp_singularvalues.pdf', format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lorenz (periodic)\n",
    "\n",
    "### Simulate the system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sigma = 10\n",
    "beta = 8/3\n",
    "rho = 160\n",
    "tau = 1\n",
    "\n",
    "x0 = [.1,.1,100]\n",
    "\n",
    "period_length = 1.154*tau\n",
    "\n",
    "num_periods_simulate = 50\n",
    "sampling_rate_simulate = 4096\n",
    "t_simulate_full = np.linspace(0, num_periods_simulate*period_length,\n",
    "                         int(num_periods_simulate*sampling_rate_simulate))\n",
    "dt_simulate = t_simulate_full[1]-t_simulate_full[0]\n",
    "\n",
    "lorenz_simulation = utils.simulate_lorenz(dt_simulate, t_simulate_full.size, x0=x0, sigma=sigma, rho=rho, beta=beta,\n",
    "                                    tau=tau)[0]\n",
    "\n",
    "initial_samples = int(10*sampling_rate_simulate)\n",
    "t_simulate = t_simulate_full[:-initial_samples]\n",
    "lorenz_solution = lorenz_simulation[0:1,initial_samples:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Subsample to get training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "num_periods_subsample = 5\n",
    "sampling_rate_subsample = 128\n",
    "\n",
    "t_max_idx = int(num_periods_subsample*period_length/dt_simulate)+2\n",
    "spacing = sampling_rate_simulate//sampling_rate_subsample\n",
    "\n",
    "t_sample = t_simulate[:t_max_idx:spacing]\n",
    "dt_sample = t_sample[1] - t_sample[0]\n",
    "\n",
    "training_data = lorenz_solution[:,:t_max_idx:spacing]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train a HAVOK model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "time_delay=128\n",
    "time_delay_spacing=1\n",
    "rank=12\n",
    "\n",
    "dmd = utils.DMD(truncation='hard', threshold=rank, time_delay=time_delay, time_delay_spacing=time_delay_spacing)\n",
    "dmd.fit(training_data, dt_sample)\n",
    "dmd_reconstruction = dmd.reconstruct(t_simulate, imaginary_evals=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot reconstruction, linear model, and power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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OxvIQr0JABKQo8lg9ncPudKgZpVaZKe2FKMswBYYkjZ7MXTbitN4uj57KkO4A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\nc3RhcnR4cmVmCjIwNDg5CiUlRU9GCg==\n",
      "image/png": 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NfQ4AJsPhT8ZisYwiSaWTJwWhJuH0kT/4g16Pqv5IpHRuzu9/SywWS6uiWJe4l2X53EA2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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f180643ac18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10.5,3))\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(t_simulate, lorenz_solution[0], '--', color='#666666', alpha=0.8, linewidth=3)\n",
    "plt.plot(t_simulate, dmd_reconstruction[0], '--', alpha=0.8, linewidth=3, color='red')\n",
    "plt.plot(t_sample, training_data[0], linewidth=3, color='#666666')\n",
    "plt.xlim([0*period_length, 10*period_length])\n",
    "plt.axis('off')\n",
    "\n",
    "idxs = np.argsort(dmd.omega[1])\n",
    "idxs = idxs[int(np.ceil(idxs.size/2)):]\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.imshow(np.real(dmd.Atilde_continuous), interpolation='nearest', cmap=plt.get_cmap('bwr'))\n",
    "plt.axis('off')\n",
    "plt.colorbar()\n",
    "plt.clim([-45,45])\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(dmd.omega[1,idxs], np.abs(dmd.b[idxs]), 'o:', color='red', linewidth=2)\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('figures/05a_lorenz_havok.pdf', format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rossler (periodic)\n",
    "\n",
    "### Simulate the system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = 0.1\n",
    "b = 0.1\n",
    "c = 8.5\n",
    "tau=.1\n",
    "\n",
    "x0 = [0,10,0]\n",
    "\n",
    "period_length = 25.259*tau\n",
    "\n",
    "num_periods_simulate = 50\n",
    "sampling_rate_simulate = 4096\n",
    "t_simulate_full = np.linspace(0, num_periods_simulate*period_length,\n",
    "                         int(num_periods_simulate*sampling_rate_simulate))\n",
    "dt_simulate = t_simulate_full[1]-t_simulate_full[0]\n",
    "\n",
    "rossler_simulation = utils.simulate_rossler(dt_simulate, t_simulate_full.size, x0=x0, a=a, b=b, c=c, tau=tau)[0]\n",
    "\n",
    "initial_samples = int(5*sampling_rate_simulate)\n",
    "t_simulate = t_simulate_full[:-initial_samples]\n",
    "rossler_solution = rossler_simulation[2:3,initial_samples:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Subsample to get training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "num_periods_subsample = 5\n",
    "sampling_rate_subsample = 128\n",
    "\n",
    "t_max_idx = int(num_periods_subsample*period_length/dt_simulate)+2\n",
    "spacing = sampling_rate_simulate//sampling_rate_subsample\n",
    "\n",
    "t_sample = t_simulate[:t_max_idx:spacing]\n",
    "dt_sample = t_sample[1] - t_sample[0]\n",
    "\n",
    "training_data = rossler_solution[:,:t_max_idx:spacing]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train a HAVOK model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "time_delay=128\n",
    "time_delay_spacing=1\n",
    "rank=105\n",
    "\n",
    "dmd = utils.DMD(truncation='hard', threshold=rank, time_delay=time_delay, time_delay_spacing=time_delay_spacing)\n",
    "dmd.fit(training_data, dt_sample)\n",
    "dmd_reconstruction = dmd.reconstruct(t_simulate, imaginary_evals=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot reconstruction, linear model, and power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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I2MwlTFQNdKM3bMowCNbM9cbo15P7DpQ+JorXlovIts93IHdSqlNr46YDPEKd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Nuz27AvciyZK2WpzhCPYw/qBiVdq+xAK6DfWlynB3XjLgTKq8PhlMdGUuug1BUnauA736EsAbbr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\nCg==\n",
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U5hSLblLnnKERVxIye+xrIpPxzsnR9va6tdHHm5vNOy6/fD8gbhg+0kBMx1paSvu6u6cA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\nCAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1805ffb550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10.5,3))\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(t_simulate, rossler_solution[0], '--', color='#666666', alpha=0.8, linewidth=3)\n",
    "plt.plot(t_simulate, dmd_reconstruction[0], '--', alpha=0.8, linewidth=3, color='red')\n",
    "plt.plot(t_sample, training_data[0], linewidth=3, color='#666666')\n",
    "plt.xlim([0*period_length, 10*period_length])\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.imshow(np.real(dmd.Atilde_continuous), interpolation='nearest', cmap=plt.get_cmap('bwr'))\n",
    "plt.axis('off')\n",
    "plt.colorbar()\n",
    "plt.clim([-50,50])\n",
    "\n",
    "idxs = np.argsort(dmd.omega[1])\n",
    "idxs = idxs[int(np.ceil(idxs.size/2)):]\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(dmd.omega[1,idxs], np.abs(dmd.b[idxs]), 'o:', color='red', linewidth=2)\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('figures/05a_rossler_havok.pdf', format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
